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Finding the Fourth Proportional to 299.23, 449.26 and 197.17

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Solution

The fourth proportional to 299.23, 449.26 and 197.17 is: 296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.23 : 449.26 = 197.17 : x
  2. Step 2: Convert to fraction form
    299.23/449.26 = 197.17/x
  3. Step 3: Cross multiply
    299.23x = 449.26 × 197.17
  4. Step 4: Simplify right side
    299.23x = 88,578.98
  5. Step 5: Solve for x
    x = 88,578.98/299.23
  6. Step 6: Final answer
    x = 296.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.